384059075625 has 45 divisors (see below), whose sum is σ = 693302001249. Its totient is φ = 204806718000.

The previous prime is 384059075623. The next prime is 384059075641. The reversal of 384059075625 is 526570950483.

The square root of 384059075625 is 619725.

It is a perfect power (a square), and thus also a powerful number.

384059075625 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 5 + 9 + 0 + 7 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30110231529 + 353948844096 = 173523^2 + 594936^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 384059075625 - 2¹ = 384059075623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (384059075623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 46475244 + ... + 46483506.

Almost surely, 2^384059075625 is an apocalyptic number.

384059075625 is the 619725-th square number.

384059075625 is the 309863-rd centered octagonal number.

It is an amenable number.

384059075625 is a deficient number, since it is larger than the sum of its proper divisors (309242925624).

384059075625 is an frugal number, since it uses more digits than its factorization.

384059075625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16552 (or 8271 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 384059075625 in words is "three hundred eighty-four billion, fifty-nine million, seventy-five thousand, six hundred twenty-five".